R-optimal designs for multi-factor models with heteroscedastic errors

被引：3
|
作者：
Lei He
Rong-Xian Yue
机构：
[1] Shanghai Normal University,Department of Mathematics
[2] Scientific Computing Key Laboratory of Shanghai Universities,undefined
来源：
Metrika | 2017年 / 80卷
关键词：
-optimality; Product design; Kronecker product models; Additive models; Heteroscedastic errors;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we consider the R-optimal design problem for multi-factor regression models with heteroscedastic errors. It is shown that a R-optimal design for the heteroscedastic Kronecker product model is given by the product of the R-optimal designs for the marginal one-factor models. However, R-optimal designs for the additive models can be constructed from R-optimal designs for the one-factor models only if sufficient conditions are satisfied. Several examples are presented to illustrate and check optimal designs based on R-optimality criterion.
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页码：717 / 732
页数：15
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